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Finding the Third Proportional to 218,340 and 280,854

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Solution

The third proportional to 218,340 and 280,854 is: 361,266.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,340 : 280,854 = 280,854 : x
  2. Step 2: Convert to fraction form
    218,340/280,854 = 280,854/x
  3. Step 3: Cross multiply
    218,340x = 280,854 × 280,854
  4. Step 4: Simplify right side
    218,340x = 78,878,969,316
  5. Step 5: Solve for x
    x = 78,878,969,316/218,340
  6. Step 6: Final answer
    x = 361,266.69

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.